Energy estimate for the type-II superconducting film

Kwang Ik Kim; Zu Han Liu
January 2008
Acta Mathematica Sinica;Jan2008, Vol. 24 Issue 1, p75
Academic Journal
We study the minimizers of the Ginzburg-Landau model for variable thickness, superconducting, thin films with high κ, placed in an applied magnetic field h ex , when h ex is of the order of the “first critical field”, i.e. of the order of |ln ε|. We obtain the asymptotic estimates of minimal energy and describe the possible locations of the vortices.


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